Home / 1,124.78-1,682.66-972.34

Finding the Fourth Proportional to 1,124.78, 1,682.66 and 972.34

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Solution

The fourth proportional to 1,124.78, 1,682.66 and 972.34 is: 1,454.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.78 : 1,682.66 = 972.34 : x
  2. Step 2: Convert to fraction form
    1,124.78/1,682.66 = 972.34/x
  3. Step 3: Cross multiply
    1,124.78x = 1,682.66 × 972.34
  4. Step 4: Simplify right side
    1,124.78x = 1,636,119.84
  5. Step 5: Solve for x
    x = 1,636,119.84/1,124.78
  6. Step 6: Final answer
    x = 1,454.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.